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Finding the Third Proportional to 7,724 and 12,094

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Solution

The third proportional to 7,724 and 12,094 is: 18,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 12,094 = 12,094 : x
  2. Step 2: Convert to fraction form
    7,724/12,094 = 12,094/x
  3. Step 3: Cross multiply
    7,724x = 12,094 × 12,094
  4. Step 4: Simplify right side
    7,724x = 146,264,836
  5. Step 5: Solve for x
    x = 146,264,836/7,724
  6. Step 6: Final answer
    x = 18,936.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.